3666508640 has 96 divisors (see below), whose sum is σ = 8939458080. Its totient is φ = 1420185600.

The previous prime is 3666508633. The next prime is 3666508667. The reversal of 3666508640 is 468056663.

3666508640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 3666508591 and 3666508600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 909830 + ... + 913850.

It is an arithmetic number, because the mean of its divisors is an integer number (93119355).

Almost surely, 2^3666508640 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3666508640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4469729040).

3666508640 is an abundant number, since it is smaller than the sum of its proper divisors (5272949440).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3666508640 is a wasteful number, since it uses less digits than its factorization.

3666508640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4216 (or 4208 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 44.

The square root of 3666508640 is about 60551.7022056358. The cubic root of 3666508640 is about 1541.9995166326. Note that the first 3 decimals are identical.

The spelling of 3666508640 in words is "three billion, six hundred sixty-six million, five hundred eight thousand, six hundred forty".